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Finding the Third Proportional to 327,468 and 704,736

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Solution

The third proportional to 327,468 and 704,736 is: 1,516,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,468 : 704,736 = 704,736 : x
  2. Step 2: Convert to fraction form
    327,468/704,736 = 704,736/x
  3. Step 3: Cross multiply
    327,468x = 704,736 × 704,736
  4. Step 4: Simplify right side
    327,468x = 496,652,829,696
  5. Step 5: Solve for x
    x = 496,652,829,696/327,468
  6. Step 6: Final answer
    x = 1,516,645.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.